From Christoffel words to braids

Christian Kassel

Description

From Christoffel words to braids Christian Kassel Institut de Recherche Mathématique Avancée CNRS - Université Louis Pasteur Strasbourg, France Colloquium at Rutgers 13 April 2007

• matematica pura ed


• group f2


• annali di


• finite words


• planar geometry


• joint work

Sujets

• Kassel
• Louis Pasteur University
• Institut de recherche mathématique avancée

Informations

• Publié par: pefav
• Nombre de lectures: 26
• Langue: English

Extrait

From Christoffel words to braids

Christian Kassel

Institut de Recherche Mathématique Avancée CNRS  Université Louis Pasteur Strasbourg, France

Colloquium at Rutgers 13 April 2007

Joint work

•WithChristophe Reutenauer, UQAM, Montréal, Canada

•Paper published in Annali di Matematica Pura ed Applicata186 (2007), 317–339 Downloadable from arXiv:math.GR/0507219

What is it about?

Construct words from simple planar geometry ◮

◮ Words on two letters Christoffel words:finite words ◮ ◮ Sturmian sequences:infinite words

In relation to ◮ bases of the free groupF 2 on two generators ◮ ◮ the braid groupB 4 on four strands

What is it about?

Construct words from simple planar geometry ◮

Words on two letters ◮ Christoffel words:finite words ◮ ◮ Sturmian sequences:infinite words

◮ In relation to bases of the free groupF 2 on two generators ◮ the braid groupB 4 on four strands ◮

What is it about?

Construct words from simple planar geometry ◮

Words on two letters ◮ ◮ Christoffel words:finite words Sturmian sequences:infinite words ◮

◮ In relation to ◮ bases of the free groupF 2 on two generators ◮ the braid groupB 4 on four strands

What is it about?

Construct words from simple planar geometry ◮

◮ Words on two letters ◮ Christoffel words:finite words ◮ Sturmian sequences:infinite words

◮ In relation to bases of the free groupF 2 on two generators ◮ ◮ the braid groupB 4 on four strands

What is it about?

Construct words from simple planar geometry ◮

Words on two letters ◮ Christoffel words:finite words ◮ Sturmian sequences:infinite words ◮

◮ In relation to ◮ bases of the free groupF 2 on two generators ◮ the braid groupB 4 on four strands

What is it about?

◮ Construct words from simple planar geometry

Words on two letters ◮ Christoffel words:finite words ◮ ◮ Sturmian sequences:infinite words

◮ In relation to ◮ bases of the free groupF 2 on two generators the braid groupB 4 on four strands ◮

What is it about?

◮ Construct words from simple planar geometry

◮ Words on two letters ◮ Christoffel words:finite words ◮ Sturmian sequences:infinite words

◮ In relation to ◮ bases of the free groupF 2 on two generators ◮ the braid groupB 4 on four strands

I. HISTORICAL BACKGROUND